Mathematics Commons^™

Book Review: Introductory Algebra: A Just In Time Approach, By Alice Kaseberg, Gayle Smith

Humanistic Mathematics Network Journal

No abstract provided.

Haiku, Frances Rosamond

Humanistic Mathematics Network Journal

No abstract provided.

Attitudes Of Students To Independent Learning, S. Kenneth Houston

Humanistic Mathematics Network Journal

No abstract provided.

From The Editor, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

Voices From The Reform Movement, Allyn Jackson

Humanistic Mathematics Network Journal

No abstract provided.

Mathematizing, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

A University Mathematician's View Of What's Wrong With University Mathematics Education, Reuben Hersh

Humanistic Mathematics Network Journal

No abstract provided.

The Most Humanistic Mathematician: Florentin Smarandache, Joanne S. Growney

Humanistic Mathematics Network Journal

No abstract provided.

Poem In Arithmetic Space, Larry Seagull

Humanistic Mathematics Network Journal

No abstract provided.

Branches Of Radial Solutions For Semipositone Problems, Alfonso Castro, Sudhasree Gadam, Ratnasingham Shivaji

All HMC Faculty Publications and Research

We consider the radially symmetric solutions to the equation −Δu(x) = λƒ(u(x)) for x ∈ Ω, u(x) = 0 for x ∈ ∂Ω, where Ω denotes the unit ball in R^N (N > 1), centered at the origin and λ > 0. Here ƒ: R→R is assumed to be semipositone (ƒ(0) < 0), monotonically increasing, superlinear with subcritical growth on [0, ∞). We establish the structure of radial solution branches for the above problem. We also prove that if ƒ is convex and ƒ(t)/(tƒ'(t)−ƒ(t)) is a nondecreasing function then for each λ > 0 there exists at most one positive solution u such that (λ, u) belongs to the unbounded branch of positive solutions. Further when ƒ(t) = tp − k, k > 0 and 1 < p < (N + 2)/(N − 2), we prove that the set of positive solutions is connected. Our results are motivated by and extend the developments in [4].

Descartes And Problem-Solving, Judith V. Grabiner

Pitzer Faculty Publications and Research

What can Descartes' Geometry teach us about problem solving?

Sensible Rules For Remembering Duals -- The S-O-B Method, Arthur T. Benjamin

All HMC Faculty Publications and Research

We present a natural motivation and simple mnemonic for creating the dual LP of any linear programing problem.

Missing Dimensions Of Mathematics Instruction, Walter Meyer

Humanistic Mathematics Network Journal

No abstract provided.

Writing Assignments In An Abstract Algebra Course, Krystina K. Leganza

Humanistic Mathematics Network Journal

No abstract provided.

Poetry, Monte J. Zerger

Humanistic Mathematics Network Journal

No abstract provided.

And This Is The Tale That Xeno Told, Sanda Z. Keith

Humanistic Mathematics Network Journal

No abstract provided.

Human Values And Science, Art & Mathematics, Cindy Cichy

Humanistic Mathematics Network Journal

No abstract provided.

Reaction To Human Values, Science, And Mathematics By Lillian R. And Hugh Gray Lieber, Jeanette Nelson

Humanistic Mathematics Network Journal

No abstract provided.

Math Puzzler, Paul J. Tobias

Humanistic Mathematics Network Journal

No abstract provided.

Letters From The Editor And Production Manager, Issue 11, 1995, Alvin White

Humanistic Mathematics Network Journal

No abstract provided.

In Memory Of Stavros Busenberg, Mario Martelli, Graeme Wake, Courtney Coleman, Melissa Aczon

Humanistic Mathematics Network Journal

No abstract provided.

Poetry, Lee Goldstein

Humanistic Mathematics Network Journal

No abstract provided.

A New Start For College Mathematics; Or Mathematics' Greatest Hits, Harald M. Ness

Humanistic Mathematics Network Journal

No abstract provided.

To Stephen W. Hawking, Lillia N. Apostolova

Humanistic Mathematics Network Journal

No abstract provided.

The Study Of Mathematics And Growth In The Spirit, Rosemary Schmalz

Humanistic Mathematics Network Journal

No abstract provided.

Some Notes On How Students Perceive Mathematics, Joan Countryman

Humanistic Mathematics Network Journal

No abstract provided.

What Is Mathematics?: An Answer To Our Liberal Arts Dilemma, Bruce Williamson

Humanistic Mathematics Network Journal

No abstract provided.

Analysis Of A Recurrence Arising From A Construction For Nonblocking Networks, Nicholas Pippenger

All HMC Faculty Publications and Research

Define f on the integers n > 1 by the recurrence f(n) = min( n, min_m|n( 2f(m) + 3f(n/m) ). The function f has f(n) = n as its upper envelope, attained for all prime n.

The goal of this paper is to determine the corresponding lower envelope. It is shown that this has the form f(n) ~ C(log n)^{1 + 1/γ} for certain constants γ and C, in the sense that for any ε > 0, the inequality f(n) ≤ (C + ε)(log n)^{1 + 1/γ} holds for infinitely many n, while f(n) ≤ (C + ε)(log …

Analysis Of A Recurrence Arising From A Construction For Non-Blocking Networks, Nicholas Pippenger

All HMC Faculty Publications and Research

Define f on the integers $n > 1$ by the recurrence $f( n ) = \min \{ n,\min _{m|n} 2f( m ) + 3f( n/m ) \}$. The function f has $f( n ) = n$ as its upper envelope, attained for all prime n. The goal of this paper is to determine the corresponding lower envelope. It is shown that this has the form $f( n ) \sim C( \log n )^{1 + 1/\gamma } $ for certain constants $\gamma $ and C, in the sense that for any $\varepsilon > 0$, the inequality $f( n ) \leq ( …

Optimal Klappenspiel, Arthur T. Benjamin, Derek Stanford '93

All HMC Faculty Publications and Research

The game Klappenspiel ("flipping game") is a traditional German game of flipping tiles according to dice rolls. In this paper, we derive the optimal strategy for this game by using dynamic programming. We show that the probability of winning using the optimal strategy is 0.30%.